Mr Miliband dismissed allegations of recklessness and told BBC1's Andrew Marr Show: "For goodness sake let's grow up."
He described Sir John as an "outstanding professional" and denied that the details on the social networking website, which have since been removed, would compromise his career.
Lady Shelley Sawers, Sir John's wife, disclosed details on Facebook including the location of the London flat used by the couple and the whereabouts of their three children and of Sir John's parents, The Mail on Sunday reported.
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